Solitons And The Inverse Scattering Transform PDF Download
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Author | : Mark J. Ablowitz |
Publisher | : SIAM |
Total Pages | : 433 |
Release | : 2006-05-15 |
Genre | : Mathematics |
ISBN | : 089871477X |
Download Solitons and the Inverse Scattering Transform Book in PDF, ePub and Kindle
A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. A soliton is a localised pulse-like nonlinear wave that possesses remarkable stability properties. Typically, problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. The equations may take a variety of forms, for example, PDEs, differential difference equations, partial difference equations, and integrodifferential equations, as well as coupled ODEs of finite order. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation.
Author | : S. Novikov |
Publisher | : Springer Science & Business Media |
Total Pages | : 298 |
Release | : 1984-05-31 |
Genre | : Mathematics |
ISBN | : 9780306109775 |
Download Theory of Solitons Book in PDF, ePub and Kindle
Author | : W. Eckhaus |
Publisher | : Elsevier |
Total Pages | : 221 |
Release | : 2011-08-18 |
Genre | : Mathematics |
ISBN | : 9780080871615 |
Download The Inverse Scattering Transformation and The Theory of Solitons Book in PDF, ePub and Kindle
The Inverse Scattering Transformation and The Theory of Solitons
Author | : Robert M. Miura |
Publisher | : Springer |
Total Pages | : 302 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540382208 |
Download Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications Book in PDF, ePub and Kindle
Proceedings of the NSF Research Workshop on Contact Transformations, Held in Nashville, Tennessee, 1974
Author | : Mark J. Ablowitz |
Publisher | : Cambridge University Press |
Total Pages | : 532 |
Release | : 1991-12-12 |
Genre | : Mathematics |
ISBN | : 0521387302 |
Download Solitons, Nonlinear Evolution Equations and Inverse Scattering Book in PDF, ePub and Kindle
This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.
Author | : P. G. Drazin |
Publisher | : Cambridge University Press |
Total Pages | : 244 |
Release | : 1989-02-09 |
Genre | : Mathematics |
ISBN | : 9780521336550 |
Download Solitons Book in PDF, ePub and Kindle
This textbook is an introduction to the theory of solitons in the physical sciences.
Author | : B G Konopelchenko |
Publisher | : World Scientific |
Total Pages | : 304 |
Release | : 1993-04-30 |
Genre | : |
ISBN | : 9814518069 |
Download Solitons In Multidimensions: Inverse Spectral Transform Method Book in PDF, ePub and Kindle
The book is devoted to the mathematical theory of soliton phenomena on the plane. The inverse spectral transform method which is a main tool for the study of the (2+1)-dimensional soliton equation is reviewed. The ∂-problem and the Riemann-Hilbert problem method are discussed. Several basic examples of soliton equations are considered in detail. This volume is addressed both to the nonexpert and to the researcher in the field. This is the first literature dealing specifically with multidimensional solition equations.
Author | : Vladislav V. Kravchenko |
Publisher | : Birkhäuser |
Total Pages | : 154 |
Release | : 2020-08-18 |
Genre | : Mathematics |
ISBN | : 9783030478483 |
Download Direct and Inverse Sturm-Liouville Problems Book in PDF, ePub and Kindle
This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. Analytical representations for solutions of Sturm-Liouville equations as well as for the integral kernels of the transmutation operators are derived in the form of functional series revealing interesting special features and lending themselves to direct and simple numerical solution of a wide variety of problems. The book is written for undergraduate and graduate students, as well as for mathematicians, physicists and engineers interested in direct and inverse spectral problems.
Author | : Maciej Dunajski |
Publisher | : Oxford University Press |
Total Pages | : 374 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 0198570627 |
Download Solitons, Instantons, and Twistors Book in PDF, ePub and Kindle
A text aimed at third year undergraduates and graduates in mathematics and physics, presenting elementary twistor theory as a universal technique for solving differential equations in applied mathematics and theoretical physics.
Author | : Wiktor Eckhaus |
Publisher | : |
Total Pages | : 222 |
Release | : 1981 |
Genre | : |
ISBN | : 9780444861665 |
Download The inverse scattering transformation and the theory of solitons Book in PDF, ePub and Kindle